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Results tagged with root-systems
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user 3545
6
votes
Fixed Points of the Weyl Group action on a Maximal Torus and the Center of a Reductive Group
Let $X = Hom(T, G_m)$ and $Y = Hom(G_m, T)$ be the character and cocharacter lattices of $T$, respectively. Let $k$ be the (algebraically closed) ground field. Note that $T = Spec(k[X])$ (a canonica …
- 13.3k
11
votes
Definition of $\textrm{GSpin}_{2n}$ and its root datum
A good concise reference is Deligne's article on the Weil conjectures for K3 surfaces. See "La conjecture de Weil pour les surfaces K3" in Inventiones 15 (1971/72): 206-226. An English version is ea …
- 13.3k